Details

Time bar (total: 11.5s)

sample20.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify26.0ms

Counts
1 → 1
Iterations
IterNodes
done27
527
426
324
220
115
09

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 1 expressions with local error:

6.2b
(/ y (fma (/ x 2.0) y 1.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
7.0ms
(/ y (fma (/ x 2.0) y 1.0))

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(/ y (fma (/ x 2.0) y 1.0))

simplify1.9s

Counts
33 → 33
Iterations
IterNodes
done5000
31669
2529
1175
083

prune156.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (fma (/ x 2.0) y 1.0))
6.0b
(* y (/ 1 (fma (/ x 2.0) y 1.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log
13×associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×expm1-log1p-u cbrt-undiv rec-exp 1-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
2 → 73
Calls
2 calls:
7.0ms
(/ 1 (fma (/ x 2.0) y 1.0))
21.0ms
(* y (/ 1 (fma (/ x 2.0) y 1.0)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ 1 (fma (/ x 2.0) y 1.0))
98.0ms
(* y (/ 1 (fma (/ x 2.0) y 1.0)))

simplify2.1s

Counts
79 → 79
Iterations
IterNodes
done5000
33809
21011
1321
0136

prune229.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

6.2b
(/ y (fma (/ x 2.0) y 1.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
5.0ms
(/ y (fma (/ x 2.0) y 1.0))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ y (fma (/ x 2.0) y 1.0))

simplify1.8s

Counts
33 → 33
Iterations
IterNodes
done5000
31669
2529
1175
083

prune122.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* y x) (* y x))
0.3b
(/ 4.0 (* y x))
1.0b
(/ (/ 8.0 x) (* (* y x) (* y x)))
7.8b
(- (+ (/ 2.0 x) (/ (/ 8.0 x) (* (* y x) (* y x)))) (/ (/ 4.0 (* y x)) x))

rewrite933.0ms

Algorithm
rewrite-expression-head
Rules
159×*-un-lft-identity
155×times-frac
107×add-sqr-sqrt
102×add-cube-cbrt
100×prod-diff
62×add-cbrt-cube add-exp-log
43×pow1
27×distribute-lft-out
25×prod-exp cbrt-unprod
20×div-inv
17×cbrt-undiv div-exp pow-prod-down
16×associate-/l*
9×add-log-exp
4×expm1-log1p-u fma-neg pow-sqr pow-prod-up insert-posit16 log1p-expm1-u
3×frac-sub
2×clear-num associate-/r* frac-2neg pow-plus diff-log distribute-lft-out-- difference-of-squares
1×pow2 sum-log sub-neg flip3-+ flip3-- swap-sqr associate-*r* associate-*l* frac-add associate--l+ *-commutative flip-+ flip-- associate-/l/
Counts
4 → 250
Calls
4 calls:
55.0ms
(* (* y x) (* y x))
15.0ms
(/ 4.0 (* y x))
63.0ms
(/ (/ 8.0 x) (* (* y x) (* y x)))
790.0ms
(- (+ (/ 2.0 x) (/ (/ 8.0 x) (* (* y x) (* y x)))) (/ (/ 4.0 (* y x)) x))

series201.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (* y x) (* y x))
25.0ms
(/ 4.0 (* y x))
55.0ms
(/ (/ 8.0 x) (* (* y x) (* y x)))
77.0ms
(- (+ (/ 2.0 x) (/ (/ 8.0 x) (* (* y x) (* y x)))) (/ (/ 4.0 (* y x)) x))

simplify1.5s

Counts
262 → 262
Iterations
IterNodes
done5000
11297
0474

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
08

end0.0ms

sample692.0ms

Algorithm
intervals
Results
534.0ms7999×body80valid
0.0ms1×body1280valid